41 609 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1876649119	10	30.8	old
15873143123473	14	43.9	2008-08-26 20:00:02
94883104786681	14	46.4	2008-08-26 20:00:02
1793921838388393121	19	60.6	2008-08-26 20:00:02
1796074464358557830567	22	70.6	2010-04-29 16:23:54
116560927017787588155361	24	76.6	2010-04-29 20:30:28

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	798 / 4588

Estimated T-Level: 35.9 ⓘ

TF below 2^114 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	59B59F44AC5BF4D9	6	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	59B59F44AC5BF4D9	6	0	1	3
Verified	2017-12-07	ATH	59B59F44AC5BF4D9	6	35168	1	3
Verified	2020-04-17	Oliver Kruse	E83D41045E5E3AC8	6	37384	5	3
Verified	2024-07-01	kkmrkkblmbrbk	E83D41045E5E3AC8	6	8701	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M41609/116560927017787588155361/15873143123473/1793921838388393121/1796074464358557830567/1876649119/94883104786681 : E83D41045E5E3AC8 PRP: Verified PRP without proof (small exponent)
2023-05-12	JacobZ	NF-PM1	B1=870000000, B2=644491197700350
2021-04-28	gLauss	NF-PP1	Start=2/7, B1=10000000, B2=1000000000
2021-04-13	Seth_Tr	NF-PM1	B1=400000000, B2=76400000000
2020-04-17	Oliver Kruse	C-PRP	M41609/1876649119/15873143123473/94883104786681/1793921838388393121/1796074464358557830567/116560927017787588155361 : E83D41045E5E3AC8 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M41609/1876649119/15873143123473/94883104786681/1793921838388393121/1796074464358557830567/116560927017787588155361 : 59B59F44AC5BF4D9 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M41609/1876649119/15873143123473/94883104786681/1793921838388393121/1796074464358557830567/116560927017787588155361 : 59B59F44AC5BF4D9 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M41609/1876649119/15873143123473/94883104786681/1793921838388393121/1796074464358557830567/116560927017787588155361 : 59B59F44AC5BF4D9 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M41609/1876649119/15873143123473/94883104786681/1793921838388393121/1796074464358557830567/116560927017787588155361 : 59B59F44AC5BF4D9 PRP without proof (not generated)
2016-09-13	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-04-29	James Hintz	F-ECM	Factor: 116560927017787588155361
2010-04-29	James Hintz	F-ECM	Factor: 1796074464358557830567
2008-08-26	-Anonymous-	F-ECM	Factor: 1793921838388393121
2008-08-26	-Anonymous-	F	Factor: 94883104786681
2008-08-26	-Anonymous-	F	Factor: 15873143123473